Search a number
-
+
420091642174200 = 23352700152736957
BaseRepresentation
bin101111110000100100011010…
…1000110101101101011111000
32001002102100221211122102102120
41133201020311012231223320
5420030240140344033300
64045243234115001240
7154325422340412543
oct13741106506555370
92032370854572376
10420091642174200
11111943957271587
123b1486a8b99220
1315053619934b69
1475a478891585a
1533878335c13a0
hex17e12351adaf8

420091642174200 has 48 divisors (see below), whose sum is σ = 1302284090741880. Its totient is φ = 112024437912960.

The previous prime is 420091642174151. The next prime is 420091642174229. The reversal of 420091642174200 is 2471246190024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350076367879 + ... + 350076369078.

Almost surely, 2420091642174200 is an apocalyptic number.

420091642174200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420091642174200 is an abundant number, since it is smaller than the sum of its proper divisors (882192448567680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420091642174200 is a wasteful number, since it uses less digits than its factorization.

420091642174200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700152736976 (or 700152736967 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 420091642174200 in words is "four hundred twenty trillion, ninety-one billion, six hundred forty-two million, one hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 700152736957 1400305473914 2100458210871 2800610947828 3500763684785 4200916421742 5601221895656 7001527369570 8401832843484 10502291054355 14003054739140 16803665686968 17503818423925 21004582108710 28006109478280 35007636847850 42009164217420 52511455271775 70015273695700 84018328434840 105022910543550 140030547391400 210045821087100 420091642174200